1. 1-3 (For help, go to Lesson 1-2.) 1.2.3. 4. the bottom5. the top 6. the front7. the back 8. the left side9. the right side GEOMETRY LESSON 1-3 Segments, Rays, Parallel Lines and Planes Judging by appearances, will the lines intersect? Name the plane represented by each surface of the box.

2. 1. no2. yes3. yes 4-9. Answers may vary. Samples given: 4. NMR5. PQL 6. NKL7. PQR 8. PKN9. LQR Solutions GEOMETRY LESSON 1-3 Segments, Rays, Parallel Lines and Planes 1-3

3. -A part of a line consisting of two endpoints and all points between them. Line Segment GEOMETRY LESSON 1-1 Patterns and Inductive Reasoning 1-1 Definitions -Named by the name of the two endpoints with the segment sign above them.

4. -A part of a line consisting of one endpoint and all points of the line on one side of the endpoint. Ray GEOMETRY LESSON 1-1 Patterns and Inductive Reasoning 1-1 Definitions Named by the name of the endpoint and then a second point the ray goes through, with the ray symbol above them.

5. Name the segments and rays in the figure. The labeled points in the figure are A, B, and C. A segment is a part of a line consisting of two endpoints and all points between them. A segment is named by its two endpoints. So the segments are BA (or AB) and BC (or CB). A ray is a part of a line consisting of one endpoint and all the points of the line on one side of that endpoint. A ray is named by its endpoint first, followed by any other point on the ray. So the rays are BA and BC. GEOMETRY LESSON 1-3 Segments, Rays, Parallel Lines and Planes 1-3

6. -Coplanar lines that do not intersect Parallel Lines GEOMETRY LESSON 1-1 Patterns and Inductive Reasoning 1-1 Definitions -Stated by placing the parallel symbol between the names of the two lines.

7. -Lines that are not coplanar. Skew Lines GEOMETRY LESSON 1-1 Patterns and Inductive Reasoning 1-1 Definitions Line a and line b are skew.

8. Are the lines below parallel, skew, or neither? GEOMETRY LESSON 1-1 Patterns and Inductive Reasoning 1-1 Think about it!

9. Are the lines below parallel, skew, or neither? GEOMETRY LESSON 1-1 Patterns and Inductive Reasoning 1-1 Think about it!

10. Use the figure below. Name all segments that are parallel to AE. Name all segments that are skew to AE. Parallel segments lie in the same plane, and the lines that contain them do not intersect. The three segments in the figure above that are parallel to AE are BF, CG, and DH. GEOMETRY LESSON 1-3 Segments, Rays, Parallel Lines and Planes 1-3 Skew lines are lines that do not lie in the same plane. The four lines in the figure that do not lie in the same plane as AE are BC, CD, FG, and GH.

11. Planes are parallel if they do not intersect. If the walls of your classroom are vertical, opposite walls are parts of parallel planes. If the ceiling and floor of the classroom are level, they are parts of parallel planes. Identify a pair of parallel planes in your classroom. GEOMETRY LESSON 1-3 Segments, Rays, Parallel Lines and Planes 1-3

12. Use the figure below for Exercises 1-3. 1. Name the segments that form the triangle. 2. Name the rays that have point T as their endpoint. 3. Explain how you can tell that no lines in the figure are parallel or skew. Use the figure below for Exercises 4 and 5. 4. Name a pair of parallel planes. 5. Name a line that is skew to XW. TO, TP, TR, TS The three pairs of lines intersect, so they cannot be parallel or skew. AC or BD RS, TR, STplane BCD || plane XWQ GEOMETRY LESSON 1-3 Segments, Rays, Parallel Lines and Planes 1-3